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132135136704 = 263426899479
BaseRepresentation
bin111101100001111011…
…1100010110111000000
3110122001201120102120000
41323003313202313000
54131103043333304
6140411350320000
712355301062464
oct1730367426700
9418051512500
10132135136704
1151046926a1a
1221737959000
13c5ca34572c
146576ca04a4
15368551b939
hex1ec3de2dc0

132135136704 has 140 divisors (see below), whose sum is σ = 391876940400. Its totient is φ = 44024020992.

The previous prime is 132135136699. The next prime is 132135136723. The reversal of 132135136704 is 407631531231.

132135136704 is a `hidden beast` number, since 132 + 1 + 3 + 513 + 6 + 7 + 0 + 4 = 666.

132135136704 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13935037 + ... + 13944515.

Almost surely, 2132135136704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132135136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195938470200).

132135136704 is an abundant number, since it is smaller than the sum of its proper divisors (259741803696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132135136704 is an equidigital number, since it uses as much as digits as its factorization.

132135136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 132135136704 its reverse (407631531231), we get a palindrome (539766667935).

The spelling of 132135136704 in words is "one hundred thirty-two billion, one hundred thirty-five million, one hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 2689 5184 5378 8067 9479 10756 16134 18958 21512 24201 28437 32268 37916 43024 48402 56874 64536 72603 75832 85311 86048 96804 113748 129072 145206 151664 170622 172096 193608 217809 227496 255933 258144 290412 303328 341244 387216 435618 454992 511866 516288 580824 606656 682488 767799 774432 871236 909984 1023732 1161648 1364976 1535598 1548864 1742472 1819968 2047464 2323296 2729952 3071196 3484944 4094928 4646592 5459904 6142392 6969888 8189856 12284784 13939776 16379712 24569568 25489031 49139136 50978062 76467093 101956124 152934186 203912248 229401279 305868372 407824496 458802558 611736744 688203837 815648992 917605116 1223473488 1376407674 1631297984 1835210232 2064611511 2446946976 2752815348 3670420464 4129223022 4893893952 5505630696 7340840928 8258446044 11011261392 14681681856 16516892088 22022522784 33033784176 44045045568 66067568352 132135136704